On involute and evolute of the curve and curve-surface pair in Euclidean 3-space

摘要

In this paper, the involute and evolute of the curve is studied in type of the curve-surface pair at first time. In additional whenβ is considered evolute and involute of the curve, involute and evolute curve-surface pairs (called as strip) and strip of the curveis shown as(α,M) are given with depending on the constant angleφthat is between in η and n in Euclidean 3-Space E~3.